APPENDIX NINE



    -MAX*BYTE:MAX=MAX/16:NEXT L
340 ?:?"BINARY","HEXADECIMAL","DECIMA
    L"
350 ? " ";BIN$,W$,Q
390 GOTO 40

This program will translate any hexadecimal, decimal, and binary
number to and from the others. There are some constraints in its use: it
will not translate a binary number for any hex number larger than $FF
or decimal number larger than 255. It will not translate any hex
number larger than $FFFF or any decimal number larger than 65535.
Since about 99% of your numeric manipulations will be within these
ranges, you should have no problems. You can easily remove the
translation routines from the program for use in your own utility.

For a quick way to translate any number in the range of zero to 65535
($FFFF), use the table below. It's quite simple to use: to translate hex to
decimal you take the number that appears in the column that
corresponds to the value in the proper row and add the values
together. The total is your decimal number. For example:

$7AC1 = 28672   fourth column, 7
         2560    third column, A
          192   second column, C
            1    first column, 1
        -----
        31425      decimal value

To translate decimal into hex, you find the largest number less than the
number you wish to translate and subtract it from your original
number. The value in the row is the first hexadecimal value. You then
do the same with the remainder until your result is zero. The values in
the row are then concatenated together for a hexadecimal number. For
example:

31425 = 31425
      - 28672 largest number, column four. first hex number = 7
        -----
         2753 remainder, minus third column
         2560 second hex number = A
        -----
          193 remainder, minus second column
          192 third hex number = C
        -----
            1 remainder and fourth hex number
Hexadecimal value = $7AC1

 Hex                 Column              Hex
number  fourth   third   second  first  number
  1       4096     256      16     1      1
  2       8192     512      32     2      2
  3      12288     768      48     3      3